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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 354, page id 1041163592:0388
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354
PHILOSODHLM NATDRALIS
DEMOrO ConEra, Si Vorcicis pars conselara et Colida ejusdem sit densicatis
cum reliquo Vorrice, e relolratur in Auidum; morebitur haec ca-
dem lesc ac prius, nisi quatenus ipsius particulae jam Auidae Factxe
moreantur inter se. Negligatur igitur motus particularum inter
Cc, tanquam ad tocius motum progrestirum nil spectans, ec motus
eocius idem erit ac prius. Motus aurem idem erit cum motu alia-
rum Vorticis partium a centro aequaliter dictantium, propterca
quod olidum in Fluidum relolutum sic pars Vorticis exceris parti
Dus consimilis. Ergo solidum, si sic ejusdem densitatis cum ma-
ceria Vorcicis, eodem moru cum ipsius partibus morebitur, in Ma-
ceria proxime ambiente relatire quiescens. Sin densius (L, jam
masis conabitur recedere à centro Vorticis quam prius; ad eoque
Vorrieis vim illam, qua prius in Orbica sua tanquam in aequilibrio
consticutum rerinebatur, jam superans, recedet à centro et revol-
rendo describet Spiralem, non amplius in eundem Orbem rediens.
RE eodem argumento si rarius (E, accedet ad cenerum. Igitur non
redibit in eundem Orbem nisi sic ejusdem densitacis cum Auido.
Fo aurem in casu ostensum est, quod revolreretur eadem lesc cum
partibus Auidi a cenero Vorticis aequalicer distancibus. . F. D.
Corol. r. Frso Colidum quod in Vorrice revolvitur de in cundem
Orbem semper redie, relatire quieseie in Auido cui innataE.
Corol. 2. FE SI Voncex sic quoad densicacem uniformis, corpus
idem ad quamlibet a cenero Vorticis dictaniam revolri potet.
Scholium.
Flinc liquet Planetas à Vorricibus corporeis non deterri. Nam
Planetx secundum FIrpothesin Copernicaam circa Solem delati re-
volruncur in Ellipsibus umbilicum habencibus in Sole, ec radiis ad
Solem ductis areas describune cemporibus proportionales. AF Par-
tes Vorricis tali motu revolri nequeunt. Desionent AD. BLC ln
Orbes eres circa Solem S descripios, quorum extimus CF circulus
SIC SOli CONCCHETICUS, SE interiorum duorum Aphelia sINE A, B e
Perihelia D, L. Ergo corpus quod revolritur in Orbe CF, radio
ad Solem ducto areas cemporibus proxortionales describendo, mo-
rebitur uniformi cum motu. Corpus autem quod sevolritur in
Orbe BF. cardius morebitur in Aphelio B ec velocius in Peri-
helio P. secundum leges Astronomicas; cum tamen socundum l0-
Ses Mechanicas materia Vorticis in spatio angultiore inter Ad C
relocius
LORPORVI